Results 51 to 60 of about 567 (108)

Invariant solutions and conservation laws for a three-dimensional K-S equation

, 2019
In this paper, we study three-dimensional Kudryashov-Sinelshchikov (K-S) equation, which describes long nonlinear pressure waves in a liquid containing gas bubbles. Firstly, We find the symmetry groups of the K-S equation.
Mehdi Nadjafikhah (6812084), Megerdich Toomanian (6814645), Reza Dastranj (6814642)   +2 more
core   +1 more source

Аналитические решения нелинейного уравнения конвекции–диффузии с нелинейными источниками

, 2016
Nonlinear convection–diffusion equations are widely used for the description of various processes and phenomena in physics, mechanics and biology. In this work we consider a family of nonlinear ordinary differential equations which is a traveling wave ...
Н. А. Кудряшов, N. A. Kudryashov, Д. И. Синельщиков, D. I. Sinelshchikov   +3 more
core   +2 more sources

Application of the generalized Kudryashov method to the Eckhaus equation

, 2016
In this paper, the generalized Kudryashov method is presented to seek exact solutions of the Eckhaus equation. From these solutions, we can derive solitary wave solutions as a special case.
Arnous, Ahmed H. H., Mirzazadeh, Mohammad   +1 more
core   +1 more source

A singular limit problem for the Kudryashov-Sinelshchikov equation

We consider the Kudryashov-Sinelshchikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to the entropy ones of the Burgers equation.
DI RUVO, LORENZO, COCLITE, Giuseppe Maria   +1 more
core  

Exact analytical solutions for 3D- Gross–Pitaevskii equation with periodic potential by using the Kudryashov method

, 2016
This paper obtains solutions as well as other solutions to the 3D- Gross–Pitaevskii equation, which is called the non-linear Schrodinger equation under the conditions of Kudryashov method that appear in various areas of mathematical physics.
Neirameh, Ahmad
core   +1 more source

A note on “Abundant new exact solutions for the (3+1)-dimensional Jimbo–Miwa equation”

, 2010
We demonstrate that eight from twenty seven solutions obtained by Li and Dai [Abundant new exact solutions for the (3+1)-dimensional Jimbo–Miwa equation, J. Math. Anal. Appl. 361 (2010) 587–590] are wrong and do not satisfy the equation.
Sinelshchikov, Dmitry I., Kudryashov, Nikolay A.   +1 more
core   +1 more source

A smoothed particle hydrodynamics study of the collapse for a cylindrical cavity. [PDF]

PLoS One, 2020
Albano A, Alexiadis A.
europepmc   +1 more source

Classical and Nonclassical Symmetries of Nonlinear Differential Equation for Describing Waves in a Liquid with Gas Bubbles

, 2014
A nonlinear differential equation is considered for describing nonlinear waves in a liquid with gas bubbles. Classical and nonclassical symmetries of this equation are investigated. It is shown that the considered equation admits transformations in space
N. A. Kudryashov, D. I. Sinelshchikov
core   +1 more source

Exact solutions of the Biswas-Milovic equation, the ZK(m,n,k) equation and the K(m,n) equation using the generalized Kudryashov method

, 2016
In this article, we apply the generalized Kudryashov method for finding exact solutions of three nonlinear partial differential equations (PDEs), namely: the Biswas-Milovic equation with dual-power law nonlinearity; the Zakharov--Kuznetsov equation (ZK(m,
Al-Nowehy Abdul-Ghani, Zayed EL Sayed M.E.   +1 more
core   +1 more source

Application of Kudryashov and functional variable methods to the strain wave equation in microstructured solids

, 2017
The aim of this paper is to obtain the exact solutions of the strain wave equation applied for illustrating wave propagation in microstructured solids.
K. Hosseini, Z. Ayati, M. Mirzazadeh
core   +1 more source